Finding the Third Proportional to 77,697 and 113,976

Step by Step Solution

1. Step 1: Write the proportion equation
   77,697 : 113,976 = 113,976 : x
2. Step 2: Convert to fraction form
   77,697/113,976 = 113,976/x
3. Step 3: Cross multiply
   77,697x = 113,976 × 113,976
4. Step 4: Simplify right side
   77,697x = 12,990,528,576
5. Step 5: Solve for x
   x = 12,990,528,576/77,697
6. Step 6: Final answer
   x = 167,194.73